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Finding the Fourth Proportional to 564,755.91, 846,945.95 and 227,709.51

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Solution

The fourth proportional to 564,755.91, 846,945.95 and 227,709.51 is: 341,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,755.91 : 846,945.95 = 227,709.51 : x
  2. Step 2: Convert to fraction form
    564,755.91/846,945.95 = 227,709.51/x
  3. Step 3: Cross multiply
    564,755.91x = 846,945.95 × 227,709.51
  4. Step 4: Simplify right side
    564,755.91x = 192,857,646,132.44
  5. Step 5: Solve for x
    x = 192,857,646,132.44/564,755.91
  6. Step 6: Final answer
    x = 341,488.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.